The use of rational agents for modelling real world problems has both been heavily investigated and become well accepted, with BDI Logic being a widely used architecture to represent and reason about rational agency. However, in the real world, we often have to deal with different levels of confidence in our beliefs, desires, and intentions. This paper extends our previous framework that integrated qualitative levels into BDI Logic. We describe an expanded set of axioms and properties of the extended logic and also define a detailed non-normal Kripke type semantics.

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